Chuy purchased a used truck for

$11,500. According to an online

vehicle website, his truck will

depreciate, or lose value, at a rate of

5.5% each year. What function, d (x),

represents the value of Chuy's truck

x years after its purchase?

d (x) = 11500*0.945^x

Step-by-step explanation:

Chuy's truck loses 5.5% of its value each year. That means each year:

(current worth of truck) = (previous year's worth) - (previous year's worth) * 5.5%

The current worth is also equivalent to (previous year's worth) * 94.5%.

After one year, the worth is (first year) * 94.5%.

After two years, the worth is ((first year) * 94.5%) * 94.5%.

Note that each year, the original value of the car is multiplied by 94.5% to get the current worth. Recall also that 94.5% = 0.945.

d (x) = 11500*0.945^x, where 11500 is the original price.